On compatibility/incompatibility of two discrete probability\n distributions in the presence of incomplete specification
Why this work is in the frame
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Bibliographic record
Abstract
Conditional specification of distributions is a developing area with many\napplications. In the finite discrete case, a variety of compatible conditions\ncan be derived. In this paper, we propose an alternative approach to study the\ncompatibility of two conditional probability distributions under the finite\ndiscrete set up. A technique based on rank-based criterion is shown to be\nparticularly convenient for identifying compatible distributions corresponding\nto complete conditional specification, including the case with zeros. The\nproposed methods are finally illustrated with several examples.\n
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.006 | 0.009 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.000 |
| Bibliometrics | 0.000 | 0.003 |
| Science and technology studies | 0.000 | 0.003 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.000 | 0.002 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it